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total variance
between group variance + within group variance =
mean square between groups
in a dependent sample one way ANOVA, what accounts for “variability explained"?
mean square error
in a dependent samples one way ANOVA, what accounts for “variability unexplained”
between persons variance is estimated and subtracted out of the denominator
why isnt “variability explained” within groups variability like it is in the independent samples one way ANOVA?
bigger denominator
Why would the F ratio be smaller in an independent samples ANOVA?
size of SS between persons
This means the dependent samples ANOVA can be more powerful. What is that added power more dependent on?
when you have three or more conditions
When must you use an ANOVA vs. a T-test
F
what is the observed test statistic in ANOVA
variability explained by an independent variable
in all ANOVAs, what does the numerator of the F-ratio represent?
unexplained variability
in all ANOVAs, what does the denominator of the F-ratio represent?
one way ANOVA
when an ANOVA only has one independent variable, what do we call it?
one way independent measures ANOVA
suppose we want to compare the obedience of poodles, pugs, and labs. Which ANOVA is needed?
at least one breed is different from at least one other
That ANOVA on dog obedience is significant; we reject the Null. What can we conclude?
.0167
We could use Bonferroni to compare the breeds. What is the alpha for each t-test (alpha =.05)
effect size
we find that eta squared for the dog study is .55. What measure is this?
55% of the variance in obedience scores can be explained by dog breed
We find that eta squared for the dog study is .55. What does this eta squared mean?